Randee draws these two triangles with lengths given in centimeters. What scale factor does she use to create the copy on the right from the original on the left?
(1 point)
Responses
2
2
113
1 Start Fraction 1 over 3 End Fraction
12
Start Fraction 1 over 2 End Fraction
123
1 Start Fraction 2 over 3 End Fraction
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We cannot answer this question accurately without having the lengths of the sides of the triangles given.
Use the image to answer the question.
An illustration shows two triangles positioned differently. The first triangle has its longest side along the baseline. The second triangle has its longest side in the upper left, and the triangle is tilted upward to the right. The first triangle has a base of 18 inches and sides as 10 inches and 15 inches. The second triangle shows three sides as 30 inches, 36 inches, and 20 inches.
Ra
To find the scale factor, we can compare the lengths of corresponding sides of the two triangles.
In the original triangle, the longest side (the baseline) has a length of 18 inches. In the second triangle, the corresponding side (the longest side in the upper left) has a length of 30 inches.
The scale factor can be found by dividing the length of the corresponding sides in the second triangle by the length of the corresponding sides in the original triangle.
Scale factor = (30 inches)/(18 inches) = 5/3 = 1.67
Therefore, Randee used a scale factor of 1.67 to create the copy on the right.
Wrong
I apologize for the mistake. Let's try calculating the scale factor again.
In the original triangle, the longest side (the baseline) has a length of 18 inches. In the second triangle, the corresponding side (the longest side in the upper left) has a length of 30 inches.
The scale factor can be found by dividing the length of the corresponding sides in the second triangle by the length of the corresponding sides in the original triangle.
Scale factor = (30 inches)/(18 inches) = 5/3 ≈ 1.67
Therefore, Randee used a scale factor of 1.67 to create the copy on the right.